Bibliographic Details
| Title: |
Remarks on f p-Injective and f p-Flat Modules. |
| Authors: |
Mao, Lixin1 maolx2@hotmail.com |
| Source: |
Arabian Journal for Science & Engineering (Springer Science & Business Media B.V. ). Oct2011, Vol. 36 Issue 6, p1013-1022. 10p. |
| Subjects: |
Injective modules (Algebra), Algebraic topology, Ring theory, Finite groups, Frobenius algebras, Associative rings |
| Abstract (English): |
A left R-module M is said to be f p-injective if, for every monomorphism K → L with K and L finitely presented left R-modules, Hom( L, M) → Hom( K, M) is an epimorphism. A right R-module N is called f p-flat if, for every monomorphism K → L with K and L finitely presented left R-modules, $${N\otimes K\rightarrow N\otimes L}$$ is a monomorphism. In this note, we study precovers and preenvelopes by f p-injective and f p-flat modules, including their properties under (almost) excellent extensions of rings. In addition, we also introduce and investigate f p-projective modules. [ABSTRACT FROM AUTHOR] |
| Abstract (Arabic): |
[Figure not available: see fulltext.] [ABSTRACT FROM AUTHOR] |
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Copyright of Arabian Journal for Science & Engineering (Springer Science & Business Media B.V. ) is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) |
| Database: |
Engineering Source |
